时滞差分方程解的渐近状态和整体稳定性

Asymptotic Behavior and Globally Stability of Solutions of Delay Difference Equation

本文给出了某类时滞差分方程的任一非振动解或振动解趋于零的充分条件，从而得到保证此类方程的平凡解整体稳定性的充分条件。

In this paper, the sufficient conditions of eveny nonoscillatory solution or everyoscillatory solution of the classes of delay difference equations tends to zero are obtained.Thus the sufficient conditions are obtained to insure the global stability of the trivial solutionof the delay difference equations